Finding the Third Proportional to 37,364 and 57,131

Step by Step Solution

1. Step 1: Write the proportion equation
   37,364 : 57,131 = 57,131 : x
2. Step 2: Convert to fraction form
   37,364/57,131 = 57,131/x
3. Step 3: Cross multiply
   37,364x = 57,131 × 57,131
4. Step 4: Simplify right side
   37,364x = 3,263,951,161
5. Step 5: Solve for x
   x = 3,263,951,161/37,364
6. Step 6: Final answer
   x = 87,355.51